

A306750


Least prime of exactly n consecutive primes all of which are regular.


0



61, 137, 239, 41, 2447, 71, 4271, 3331, 3701, 3, 15193, 10253, 163, 107053, 51343, 1185313, 584557, 491299, 2696021, 4042523, 10872649, 6806243, 8738641, 6925999, 17669539, 120490499, 17881, 14906383, 211144489, 510669881, 126276229, 1913754191
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OFFSET

1,1


COMMENTS

Calculated from the list of primes by Hart et al.


LINKS

Table of n, a(n) for n=1..32.
William Hart, David Harvey and Wilson Ong, Irregular primes to two billion, Mathematics of Computation, Vol. 86, No. 308 (2017), pp. 30313049; also available at arXiv:1605.02398 [math.NT], 2016.
David Harvey, Irregular primes to two billion (includes a list of all primes less than 2^31).


EXAMPLE

a(1) = 61 since it is regular and both its neighboring primes 59 and 67 are irregular.


CROSSREFS

Cf. A007703, A000928, A105019.
Sequence in context: A073761 A142093 A063337 * A142172 A168023 A044312
Adjacent sequences: A306747 A306748 A306749 * A306751 A306752 A306753


KEYWORD

nonn,more


AUTHOR

Amiram Eldar, Mar 07 2019


STATUS

approved



